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Rank-Polyserial Correlation: A Quest for a "Missing" Coefficient of Correlation
Tekijät: Metsämuuronen Jari
Kustantaja: FRONTIERS MEDIA SA
Julkaisuvuosi: 2022
Lehti: Frontiers in Applied Mathematics and Statistics
Tietokannassa oleva lehden nimi: FRONTIERS IN APPLIED MATHEMATICS AND STATISTICS
Lehden akronyymi: FRONT APPL MATH STAT
Artikkelin numero: 914932
Vuosikerta: 8
Sivujen määrä: 20
DOI: https://doi.org/10.3389/fams.2022.914932
Julkaisun avoimuus kirjaamishetkellä: Avoimesti saatavilla
Julkaisukanavan avoimuus : Kokonaan avoin julkaisukanava
Verkko-osoite: https://www.frontiersin.org/articles/10.3389/fams.2022.914932/full
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/175960544
Rinnakkaistallenteen lisenssi: CC BY
Rinnakkaistallennetun julkaisun versio: Kustantajan versio
In the typology of coefficients of correlation, we seem to miss such estimators of correlation as rank-polyserial (RRPS) and rank-polychoric (RRPC) coefficients of correlation. This article discusses a set of options as RRP, including both RRPS and RRPC. A new coefficient JTgX based on Jonckheere-Terpstra test statistic is derived, and it is shown to carry the essence of RRP. Such traditional estimators of correlation as Goodman-Kruskal gamma (G) and Somers delta (D) and dimension-corrected gamma (G2) and delta (D2) are shown to have a strict connection to JTgX, and, hence, they also fulfil the criteria for being relevant options to be taken as RRP. These estimators with a directional nature suit ordinal-scaled variables as well as an ordinal- vs. interval-scaled variable. The behaviour of the estimators of RRP is studied within the measurement modelling settings by using the point-polyserial, coefficient eta, polyserial correlation, and polychoric correlation coefficients as benchmarks. The statistical properties, differences, and limitations of the coefficients are discussed.
Avainsanat:
dimension-corrected D, dimension-corrected G, Goodman-Kruskal G, point-polyserial correlation, polyserial correlation, rank-biserial correlation, rank-polyserial correlation, Somers D
Ladattava julkaisu This is an electronic reprint of the original article. |  |
